论文标题

Susy Vertex代数的代数出演代数

Algebraic operad of SUSY vertex algebra

论文作者

Nishinaka, Yusuke, Yanagida, Shintarou

论文摘要

We introduce algebraic operads $\mathcal{P}^{\text{ch}N_W=N}$ and $\mathcal{P}^{\text{ch}N_K=N}$ encoding the structures of $N_W=N$ and $N_K=N$ SUSY vertex algebras, and study the corresponding cohomology theory.我们的出版物是由Bakalov,de Sole,Heluani和Kac(2019)引入的Operad $ p^{\ Text {Ch}} $的Susy类似物,作为Beillal Operad of Beilinson和Drinfeld的纯代数翻译。

We introduce algebraic operads $\mathcal{P}^{\text{ch}N_W=N}$ and $\mathcal{P}^{\text{ch}N_K=N}$ encoding the structures of $N_W=N$ and $N_K=N$ SUSY vertex algebras, and study the corresponding cohomology theory. Our operad is a SUSY analogue of the operad $P^{\text{ch}}$ introduced by Bakalov, De Sole, Heluani and Kac (2019) as a purely algebraic translation of the chiral operad of Beilinson and Drinfeld.

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